Identify polynomials in the following:
(i) f(x) = 4x3-x2-3x+7
(ii) g(x) = 2x3-3x2+
-1
(iii) p(x) =
x2-
x+9
(iv) q(x) = 2x2-3x+
+2
(v) h(x) = x4-
+x-1
(vi) f(x) = 2+
+4x
(i) f(x) = 4x3-x2-3x+7 is a polynomial.
(ii) g(x) = 2x3-3x2+
-1 is not a polynomial as exponent of x in
is not a positive integer.
(iii) p(x) =
x2-
x+9 is a polynomial as all the exponents are positive integer.
(iv) q(x) = 2x2-3x+
+2 is not a polynomial as the exponent of x in
is not a positive integer.
(v) h(x) = x4-
+x-1 is not a polynomial as the exponent of x in –x3/2 is not a positive integer.
(vi) f(x) = 2+
+4x is not a polynomial as the exponent of x in
is not a positive integer.